The halo conjecture for homothecy invariant density bases
Let BBB be a homothecy invariant density basis on Rn\mathbb{R}^nRn, and let φB\varphi_BφB be its halo function, defined by φB(t)=1\varphi_B(t)=1φB(t)=1 for 0≤t≤10\leq t\leq 10≤t≤1 and … for t>1t>1t>1, where t…